MARC details
000 -LEADER |
fixed length control field |
01756cam a22002655i 4500 |
001 - CONTROL NUMBER |
control field |
137697 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
ISI Library, Kolkata |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20170613113348.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
151125s2015 nyu 000 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319264363 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ISI Library |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.62 |
Edition number |
23 |
Item number |
Ei36 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Eisenbud, David, |
Relator term |
author |
245 10 - TITLE STATEMENT |
Title |
Minimal free resolutions over complete intersections / |
Statement of responsibility, etc |
David Eisenbud and Irena Peeva. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc |
Cham : |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
2016. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 107 pages : |
Other physical details |
illustrations ; |
Dimensions |
24 cm. |
490 0# - SERIES STATEMENT |
Series statement |
Lecture notes in mathematics ; |
Volume number/sequential designation |
2152. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references and index. |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
1. Introduction and Survey --<br/>2. Matrix Factorizations of One Element --<br/>3. Finite Resolutions of HMF Modules --<br/>4. CI Operators --<br/>5. Infinite Resolutions of HMF Modules --<br/>6. Far-Out Syzygies --<br/>7. The Gorenstein Case --<br/>8. Functoriality. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of a non-zero divisor, initiated by Eisenbud in 1980, which yields a description of the eventual structure of minimal free resolutions over a hypersurface ring. Matrix factorizations have had many other uses in a wide range of mathematical fields, from singularity theory to mathematical physics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Syzygies (Mathematics) |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Free resolutions (Algebra) |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Peeva, Irena, |
Relator term |
author |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Koha item type |
Books |